How can you create a number in the complex plane that happens to lie on the real axis? How do you keep its complexness?
a=:(i.6)j.0 a 0 1 2 3 4 5 Even when you use j. the numbers have moved into the set of real numbers. Linda. -----Original Message----- From: programming-boun...@jsoftware.com [mailto:programming-boun...@jsoftware.com] On Behalf Of Henry Rich Sent: Sunday, January 22, 2012 12:09 PM To: Programming forum Subject: Re: [Jprogramming] 5|0 1 2 3 4 is not equal to 5|0 1 2 3 4 j.0 As Don said, make sure you understand complex floor before you start coding. Henry Rich On 1/22/2012 11:38 AM, Marshall Lochbaum wrote: > The theory of moduli is based on the quotient group of the integers by a > subgroup. For instance, the integers (mod 2) are produced by taking all the > integers and identifying all the ones that are even, as well as all the > ones that are odd. Then we get a two-element group which we can preform > addition on: even+even=even, even+odd=odd, etc. > > To reduce a number in a particular modulus, we need to find a canonical > representation for that number. For positive numbers n the choice is fairly > simple: n|l gives the l' such that 0<=l'<n. In the complex plane, a number > generates a grid by taking its product with the Gaussian integers; try > 'dot; pensize 2' plot , 1j2 * j./~i:10 > to see what I mean. Then what we want is a canonical form for what happens > when we identify all those points together. We're allowed to "shift" by any > Gaussian integer times the modulus. > > Based on this, I think a good way to calculate the modulus is to get the > number into the square that lies counterclockwise of the modulus number. > Practically, this means we decompose a complex number y into (a j.b)*x, and > then return (1|a)j.(1|b) . > > I'll see if I can get around to editing this. I have a working copy of the > source, but I haven't made sense of it entirely. > > Marshall > > On Sun, Jan 22, 2012 at 10:45 AM, Raul Miller<rauldmil...@gmail.com> wrote: > >> Yes, this is a bug. >> >> Someone should fix it. >> >> J is open source. (Though distributed sources do not compile for me, >> and I keep getting sidetracked when I investigate forks that might >> compile.) >> >> -- >> Raul >> ---------------------------------------------------------------------- >> For information about J forums see http://www.jsoftware.com/forums.htm >> > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm > ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
